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arXiv · 2408.11154

Tight entropy bound based on p-quasinorms

Juan Pablo Lopez
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Abstract

In the present paper we prove a family of tight upper and lower bounds for the Shannon entropy and von Neumann entropy based on the p-norms. This allows us to have an entropy estimate, a criterion for the finiteness of it and a bound on the difference of entropy, additionally, we did some numerical tests that show the efficiency of our approximations.

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Juan Pablo Lopez. 2024-08-20. Tight entropy bound based on p-quasinorms. https://arxiv.org/abs/2408.11154

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